Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7155704 | Communications in Nonlinear Science and Numerical Simulation | 2015 | 14 Pages |
Abstract
The main objective of this paper is to propose a new generalisation of the Helmholtz decomposition theorem for both fractional time and space, which leads to four equations generalising the Maxwell equations that emerge as particular case. To get these results the well-known classical vectorial operators, gradient, divergence, curl, and laplacian are generalised to fractional orders using Grünwald-Letnikov approach.
Keywords
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Mechanical Engineering
Authors
Manuel D. Ortigueira, Margarita Rivero, Juan J. Trujillo,